TY - BOOK ED - Sather-Wagstaff, Sean ED - Francisco, Christopher ED - Klingler, Lee ED - Vassilev, Janet C. AB - This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics. ID - OAPEN ID: 1004885 ID - OAPEN ID: OCN: 817079306 KW - Mathematics L1 - https://library.oapen.org/bitstream/id/ead8779c-12c0-4327-a405-b94f55d99d6a/1004885.pdf LA - English LK - http://library.oapen.org/handle/20.500.12657/25207 PB - De Gruyter PY - 2012-04-26 SN - 9783110250404 TI - Progress in Commutative Algebra 1 : Combinatorics and Homology ER -